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Finding the Third Proportional to 184,099.50 and 281,502

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Solution

The third proportional to 184,099.50 and 281,502 is: 430,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,099.50 : 281,502 = 281,502 : x
  2. Step 2: Convert to fraction form
    184,099.50/281,502 = 281,502/x
  3. Step 3: Cross multiply
    184,099.50x = 281,502 × 281,502
  4. Step 4: Simplify right side
    184,099.50x = 79,243,376,004
  5. Step 5: Solve for x
    x = 79,243,376,004/184,099.50
  6. Step 6: Final answer
    x = 430,437.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.